3 papers
math.DS2021
Multiple recurrence and large intersections for abelian group actions
Ethan Ackelsberg, Vitaly Bergelson, Andrew Best
The purpose of this paper is to study the phenomenon of large intersections in the framework of multiple recurrence for measure-preserving actions of countable abelian groups. Amon…
math.NT2020
Sums of Powers in Large Finite Fields: A Mix of Methods
Vitaly Bergelson, Andrew Best, Alex Iosevich
Can any element in a sufficiently large finite field be represented as a sum of two th powers in the field? In this article, we recount some of the history of this problem, touc…
math.NT2015
The emergence of 4-cycles in polynomial maps over the extended integers
Andrew Best, Patrick Dynes, Steven J. Miller +2
Let ; for each integer it is interesting to consider the number of iterates , if possible, needed to satisfy . The sets $\{α, f(α),…